13508364 has 48 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 4296768.

The previous prime is 13508357. The next prime is 13508371. The reversal of 13508364 is 46380531.

13508364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13508357) and next prime (13508371).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23974 + ... + 24530.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^13508364 is an apocalyptic number.

It is an amenable number.

13508364 is an abundant number, since it is smaller than the sum of its proper divisors (19489524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13508364 is a wasteful number, since it uses less digits than its factorization.

13508364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13508364 is about 3675.3726341692. The cubic root of 13508364 is about 238.1593218004.

Adding to 13508364 its reverse (46380531), we get a palindrome (59888895).

The spelling of 13508364 in words is "thirteen million, five hundred eight thousand, three hundred sixty-four".